SOLUTION: I am working on systems of linear equations. (Solve the system by graphing my book says to use the y-intercept and the slope to graph each line. The equations are: y = x-3

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Question 285718: I am working on systems of linear equations.
(Solve the system by graphing
my book says to use the y-intercept and the slope to graph each line.
The equations are: y = x-3 and y = x+1 I got a intersect at (2, 0)
When I do a check I do not believe that this satisfies both equation.
Can you detail out step by step instruction on how to solve this problem.
I might be getting the y-intercept and the slope information data wrong. I am just not sure.
Thank you.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
use the y-intercept and the slope to graph each line.
The equations are: y = x-3 and y = x+1 I got a intersect at (2, 0)
When I do a check I do not believe that this satisfies both equation.
Can you detail out step by step instruction on how to solve this problem.
-----------------------
Graph y = x-3
---
y-intercept at (0,-3)
Slope is 1 so y increases 1 when x increases 1.
(1,-2)
(2,-1)
(3,0)
=================
Graph y = x+1
Y-intercept at (0,1)
Slope is 1 so y increases 1 when x increases 1.
(1,2)
(2,3)
(3,4)
==============
Note: The slopes are the same for the two equations
so the lines do not intersect. There is no solution
for the system.
==========================

---------------------------
Cheers,
Stan H.
==========================


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